In this paper, we define fuzzy graph chains, which comprise vertex identification. These graphs are isomorphic graphs, provide that after applying various features to the chain of as special .

In this work, we describe regular domination set (RDS) and dominating number λR (G) in FG study some charateristics bounds of several FG's.

Abstract In this study, the notions of picture fuzzy tolerance graphs, interval containment graphs and $$\phi $$ ϕ -tolerance are established. Three special types having bounded representations introduced studied corresponding properties them taking as max, min sum functions. Also, proper unit established som...

Independent sets play an important role in matroid theory. In this paper, the definitions of pre-independent fuzzy set system and independent fuzzy set system in L-fuzzy setting are presented. Independent M-fuzzifying set system is introduced and some of its properties are discussed. Further independent (L,M)-fuzzy set system is given and some of its properties are obtained. The relations of th...

In this article we give a new definition of direct product of two arbitrary fuzzy graphs. We define the concepts of domination and total domination in this new product graph. We obtain an upper bound for the total domination number of the product fuzzy graph. Further we define the concept of total α-domination number and derive a lower bound for the total domination number of the product fuzzy ...

In this paper d2 degree of a vertex and total d2 -degree of a vertex in an intuitionistic fuzzy graphs are defined. Also (2, (c1, c2))-regularity and totally (2, (c1, c2))-regularity of an intuitionistic fuzzy graphs are defined. A relation between (2, (c1, c2))-regularity and totally (2, (c1, c2))-regularity on intuitionistic fuzzy graph is studied. (2, (c1, c2))regularity on a path on four ve...